101, 102 PRECALCULUS MATHEMATICS I, II (3, 3) Sets, the real number system, relations, functions, graphs, algebraic processes, in equalities, trigonometric functions, determinants, complex numbers, exponential and logarithmic functions, introduction to sequences, series, and probability. Prerequisite: 3 years of high school mathematics or consent of instructor. 105 ANALYTICAL GEOMETRY AND CALCULUS I (4) An introduction to analytic geometry, differentiation, and integration of polynomial functions, with applications. Prerequisite: 4 years of high school mathematics or consent of instructor. 106 ANALYTICAL GEOMETRY AND CALCULUS II (4) Differentiation and integra.tion of trigonometric logarithmic, and exponential func tions, various methods of integration, and vectors in the plane. Prerequisite: 105. 107 ANALYTICAL GEOMETRY AND CALCULUS III (4) Indete rminate forms and improper integrals, polar equations, infinite series, vectors in three dimensional space, physical application, partial diffe.rentiation, multiple inte gra ls, and introduction to differential equations. Prerequisite: 106. 111 FUNDAMENTALS OF MATHEMATICS (3) The number system and algebraic structures; modular arithmetic, set theory, func tions, informal geometry, postulational methods. Either semester. Designed especially fo r prospective elementary school teachers . Prerequisite: con.sent of instructor. 301 MODERN INTRODUCTION TO GEOMETRY (3) Suitable for prospective elementary school t eachers as well as those pursuing a minor or major in mathematics. Euclidean geometry, non-Euclidean geometry, meas ures and practical problems involved in measurement, coordinate systems. Offered alternate years. Prerequisite: 102 or 111, or consent of instructor. 303 ADVANCED GEOMETRY (3) Suitable for prospective high school teachers as well as for those pursuing minor and major courses. Advanced topics from Euclidean geometry, transformations, invers ion, properties of the projective transformations, finite geometries. Offered alternate years . Prerequisite: 107 or consent of instructor. 307 THEORY OF NUMBERS (3) Congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity. Offered alternate years . Prerequisite: 350 or consent of instructor. 312 DIGITAL COMPUTERS (3) Characteristics of digital computers from the programmer's viewpoint, machine logics and programming principles, introduction to symbolic and automatic coding. Offered alternate years. Prerequisite: 107 or consent of instructor. 320 MODERN ALGEBRA (3) An introduction to abstract alg~bra with topics from elementary ring, field, and group theories. Spec ial emphasis on ring of integers, congruences, polynomial domains, peir mutation groups. Offered a lternate years. Prerequisite: 107 or consent of instructor.
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